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Finding the Fourth Proportional to 10,089.66, 15,117.18 and 5,646.36

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Solution

The fourth proportional to 10,089.66, 15,117.18 and 5,646.36 is: 8,459.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,089.66 : 15,117.18 = 5,646.36 : x
  2. Step 2: Convert to fraction form
    10,089.66/15,117.18 = 5,646.36/x
  3. Step 3: Cross multiply
    10,089.66x = 15,117.18 × 5,646.36
  4. Step 4: Simplify right side
    10,089.66x = 85,357,040.46
  5. Step 5: Solve for x
    x = 85,357,040.46/10,089.66
  6. Step 6: Final answer
    x = 8,459.85

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