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Finding the Fourth Proportional to 10,437.86, 15,657.34 and 2,646.74

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Solution

The fourth proportional to 10,437.86, 15,657.34 and 2,646.74 is: 3,970.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,437.86 : 15,657.34 = 2,646.74 : x
  2. Step 2: Convert to fraction form
    10,437.86/15,657.34 = 2,646.74/x
  3. Step 3: Cross multiply
    10,437.86x = 15,657.34 × 2,646.74
  4. Step 4: Simplify right side
    10,437.86x = 41,440,908.07
  5. Step 5: Solve for x
    x = 41,440,908.07/10,437.86
  6. Step 6: Final answer
    x = 3,970.25

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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.