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Finding the Fourth Proportional to 10,590.77, 15,885.13 and 6,429.67

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Solution

The fourth proportional to 10,590.77, 15,885.13 and 6,429.67 is: 9,643.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590.77 : 15,885.13 = 6,429.67 : x
  2. Step 2: Convert to fraction form
    10,590.77/15,885.13 = 6,429.67/x
  3. Step 3: Cross multiply
    10,590.77x = 15,885.13 × 6,429.67
  4. Step 4: Simplify right side
    10,590.77x = 102,136,143.81
  5. Step 5: Solve for x
    x = 102,136,143.81/10,590.77
  6. Step 6: Final answer
    x = 9,643.88

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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.