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Finding the Fourth Proportional to 7,156.40, 9,875.78 and 4,507.30

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Solution

The fourth proportional to 7,156.40, 9,875.78 and 4,507.30 is: 6,220.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156.40 : 9,875.78 = 4,507.30 : x
  2. Step 2: Convert to fraction form
    7,156.40/9,875.78 = 4,507.30/x
  3. Step 3: Cross multiply
    7,156.40x = 9,875.78 × 4,507.30
  4. Step 4: Simplify right side
    7,156.40x = 44,513,103.19
  5. Step 5: Solve for x
    x = 44,513,103.19/7,156.40
  6. Step 6: Final answer
    x = 6,220.04

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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.