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Finding the Fourth Proportional to 10,572.50, 14,586.72 and 7,036.28

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Solution

The fourth proportional to 10,572.50, 14,586.72 and 7,036.28 is: 9,707.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.50 : 14,586.72 = 7,036.28 : x
  2. Step 2: Convert to fraction form
    10,572.50/14,586.72 = 7,036.28/x
  3. Step 3: Cross multiply
    10,572.50x = 14,586.72 × 7,036.28
  4. Step 4: Simplify right side
    10,572.50x = 102,636,246.20
  5. Step 5: Solve for x
    x = 102,636,246.20/10,572.50
  6. Step 6: Final answer
    x = 9,707.85

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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.