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Finding the Fourth Proportional to 10,390.68, 14,335.62 and 5,913.34

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Solution

The fourth proportional to 10,390.68, 14,335.62 and 5,913.34 is: 8,158.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,390.68 : 14,335.62 = 5,913.34 : x
  2. Step 2: Convert to fraction form
    10,390.68/14,335.62 = 5,913.34/x
  3. Step 3: Cross multiply
    10,390.68x = 14,335.62 × 5,913.34
  4. Step 4: Simplify right side
    10,390.68x = 84,771,337.16
  5. Step 5: Solve for x
    x = 84,771,337.16/10,390.68
  6. Step 6: Final answer
    x = 8,158.40

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