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Finding the Fourth Proportional to 10,398.86, 15,598.36 and 4,159.40

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Solution

The fourth proportional to 10,398.86, 15,598.36 and 4,159.40 is: 6,239.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.86 : 15,598.36 = 4,159.40 : x
  2. Step 2: Convert to fraction form
    10,398.86/15,598.36 = 4,159.40/x
  3. Step 3: Cross multiply
    10,398.86x = 15,598.36 × 4,159.40
  4. Step 4: Simplify right side
    10,398.86x = 64,879,818.58
  5. Step 5: Solve for x
    x = 64,879,818.58/10,398.86
  6. Step 6: Final answer
    x = 6,239.13

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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.