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Finding the Fourth Proportional to 10,572.90, 15,883.66 and 7,460.08

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Solution

The fourth proportional to 10,572.90, 15,883.66 and 7,460.08 is: 11,207.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.90 : 15,883.66 = 7,460.08 : x
  2. Step 2: Convert to fraction form
    10,572.90/15,883.66 = 7,460.08/x
  3. Step 3: Cross multiply
    10,572.90x = 15,883.66 × 7,460.08
  4. Step 4: Simplify right side
    10,572.90x = 118,493,374.29
  5. Step 5: Solve for x
    x = 118,493,374.29/10,572.90
  6. Step 6: Final answer
    x = 11,207.27

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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.