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Finding the Fourth Proportional to 10,666.16, 15,992.38 and 4,430.49

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Solution

The fourth proportional to 10,666.16, 15,992.38 and 4,430.49 is: 6,642.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.16 : 15,992.38 = 4,430.49 : x
  2. Step 2: Convert to fraction form
    10,666.16/15,992.38 = 4,430.49/x
  3. Step 3: Cross multiply
    10,666.16x = 15,992.38 × 4,430.49
  4. Step 4: Simplify right side
    10,666.16x = 70,854,079.67
  5. Step 5: Solve for x
    x = 70,854,079.67/10,666.16
  6. Step 6: Final answer
    x = 6,642.89

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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.