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Finding the Fourth Proportional to 5,316.66, 7,962.63 and 5,132.10

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Solution

The fourth proportional to 5,316.66, 7,962.63 and 5,132.10 is: 7,686.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,316.66 : 7,962.63 = 5,132.10 : x
  2. Step 2: Convert to fraction form
    5,316.66/7,962.63 = 5,132.10/x
  3. Step 3: Cross multiply
    5,316.66x = 7,962.63 × 5,132.10
  4. Step 4: Simplify right side
    5,316.66x = 40,865,013.42
  5. Step 5: Solve for x
    x = 40,865,013.42/5,316.66
  6. Step 6: Final answer
    x = 7,686.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.