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Finding the Fourth Proportional to 8,465, 11,681.70 and 5,153

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Solution

The fourth proportional to 8,465, 11,681.70 and 5,153 is: 7,111.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,465 : 11,681.70 = 5,153 : x
  2. Step 2: Convert to fraction form
    8,465/11,681.70 = 5,153/x
  3. Step 3: Cross multiply
    8,465x = 11,681.70 × 5,153
  4. Step 4: Simplify right side
    8,465x = 60,195,800.10
  5. Step 5: Solve for x
    x = 60,195,800.10/8,465
  6. Step 6: Final answer
    x = 7,111.14

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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.