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Finding the Fourth Proportional to 10,358.10, 14,289.28 and 7,002.08

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Solution

The fourth proportional to 10,358.10, 14,289.28 and 7,002.08 is: 9,659.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358.10 : 14,289.28 = 7,002.08 : x
  2. Step 2: Convert to fraction form
    10,358.10/14,289.28 = 7,002.08/x
  3. Step 3: Cross multiply
    10,358.10x = 14,289.28 × 7,002.08
  4. Step 4: Simplify right side
    10,358.10x = 100,054,681.70
  5. Step 5: Solve for x
    x = 100,054,681.70/10,358.10
  6. Step 6: Final answer
    x = 9,659.56

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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.