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Finding the Fourth Proportional to 10,502.34, 14,500.35 and 7,353.06

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Solution

The fourth proportional to 10,502.34, 14,500.35 and 7,353.06 is: 10,152.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.34 : 14,500.35 = 7,353.06 : x
  2. Step 2: Convert to fraction form
    10,502.34/14,500.35 = 7,353.06/x
  3. Step 3: Cross multiply
    10,502.34x = 14,500.35 × 7,353.06
  4. Step 4: Simplify right side
    10,502.34x = 106,621,943.57
  5. Step 5: Solve for x
    x = 106,621,943.57/10,502.34
  6. Step 6: Final answer
    x = 10,152.21

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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.