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Finding the Fourth Proportional to 10,477.76, 14,459.68 and 5,762.40

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Solution

The fourth proportional to 10,477.76, 14,459.68 and 5,762.40 is: 7,952.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.76 : 14,459.68 = 5,762.40 : x
  2. Step 2: Convert to fraction form
    10,477.76/14,459.68 = 5,762.40/x
  3. Step 3: Cross multiply
    10,477.76x = 14,459.68 × 5,762.40
  4. Step 4: Simplify right side
    10,477.76x = 83,322,460.03
  5. Step 5: Solve for x
    x = 83,322,460.03/10,477.76
  6. Step 6: Final answer
    x = 7,952.32

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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.