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Finding the Fourth Proportional to 10,339.83, 15,502.19 and 3,315.85

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Solution

The fourth proportional to 10,339.83, 15,502.19 and 3,315.85 is: 4,971.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,339.83 : 15,502.19 = 3,315.85 : x
  2. Step 2: Convert to fraction form
    10,339.83/15,502.19 = 3,315.85/x
  3. Step 3: Cross multiply
    10,339.83x = 15,502.19 × 3,315.85
  4. Step 4: Simplify right side
    10,339.83x = 51,402,908.34
  5. Step 5: Solve for x
    x = 51,402,908.34/10,339.83
  6. Step 6: Final answer
    x = 4,971.35

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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.