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Finding the Fourth Proportional to 10,545.59, 14,553 and 5,765.65

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Solution

The fourth proportional to 10,545.59, 14,553 and 5,765.65 is: 7,956.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,545.59 : 14,553 = 5,765.65 : x
  2. Step 2: Convert to fraction form
    10,545.59/14,553 = 5,765.65/x
  3. Step 3: Cross multiply
    10,545.59x = 14,553 × 5,765.65
  4. Step 4: Simplify right side
    10,545.59x = 83,907,468.07
  5. Step 5: Solve for x
    x = 83,907,468.07/10,545.59
  6. Step 6: Final answer
    x = 7,956.64

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