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Finding the Fourth Proportional to 10,582.10, 14,598.38 and 7,440.14

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Solution

The fourth proportional to 10,582.10, 14,598.38 and 7,440.14 is: 10,263.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.10 : 14,598.38 = 7,440.14 : x
  2. Step 2: Convert to fraction form
    10,582.10/14,598.38 = 7,440.14/x
  3. Step 3: Cross multiply
    10,582.10x = 14,598.38 × 7,440.14
  4. Step 4: Simplify right side
    10,582.10x = 108,613,990.97
  5. Step 5: Solve for x
    x = 108,613,990.97/10,582.10
  6. Step 6: Final answer
    x = 10,263.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.