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Finding the Fourth Proportional to 10,430.16, 15,617.89 and 7,149.66

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Solution

The fourth proportional to 10,430.16, 15,617.89 and 7,149.66 is: 10,705.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.16 : 15,617.89 = 7,149.66 : x
  2. Step 2: Convert to fraction form
    10,430.16/15,617.89 = 7,149.66/x
  3. Step 3: Cross multiply
    10,430.16x = 15,617.89 × 7,149.66
  4. Step 4: Simplify right side
    10,430.16x = 111,662,603.42
  5. Step 5: Solve for x
    x = 111,662,603.42/10,430.16
  6. Step 6: Final answer
    x = 10,705.74

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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.