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Finding the Fourth Proportional to 10,415.68, 14,374 and 5,699.96

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Solution

The fourth proportional to 10,415.68, 14,374 and 5,699.96 is: 7,866.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.68 : 14,374 = 5,699.96 : x
  2. Step 2: Convert to fraction form
    10,415.68/14,374 = 5,699.96/x
  3. Step 3: Cross multiply
    10,415.68x = 14,374 × 5,699.96
  4. Step 4: Simplify right side
    10,415.68x = 81,931,225.04
  5. Step 5: Solve for x
    x = 81,931,225.04/10,415.68
  6. Step 6: Final answer
    x = 7,866.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.