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Finding the Fourth Proportional to 10,669.66, 14,707.36 and 7,306.66

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Solution

The fourth proportional to 10,669.66, 14,707.36 and 7,306.66 is: 10,071.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,669.66 : 14,707.36 = 7,306.66 : x
  2. Step 2: Convert to fraction form
    10,669.66/14,707.36 = 7,306.66/x
  3. Step 3: Cross multiply
    10,669.66x = 14,707.36 × 7,306.66
  4. Step 4: Simplify right side
    10,669.66x = 107,461,679.02
  5. Step 5: Solve for x
    x = 107,461,679.02/10,669.66
  6. Step 6: Final answer
    x = 10,071.71

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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.