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Finding the Fourth Proportional to 10,421.86, 15,630 and 2,924.96

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Solution

The fourth proportional to 10,421.86, 15,630 and 2,924.96 is: 4,386.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,421.86 : 15,630 = 2,924.96 : x
  2. Step 2: Convert to fraction form
    10,421.86/15,630 = 2,924.96/x
  3. Step 3: Cross multiply
    10,421.86x = 15,630 × 2,924.96
  4. Step 4: Simplify right side
    10,421.86x = 45,717,124.80
  5. Step 5: Solve for x
    x = 45,717,124.80/10,421.86
  6. Step 6: Final answer
    x = 4,386.66

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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.