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Finding the Fourth Proportional to 7,036.96, 10,552.20 and 3,141.40

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Solution

The fourth proportional to 7,036.96, 10,552.20 and 3,141.40 is: 4,710.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,036.96 : 10,552.20 = 3,141.40 : x
  2. Step 2: Convert to fraction form
    7,036.96/10,552.20 = 3,141.40/x
  3. Step 3: Cross multiply
    7,036.96x = 10,552.20 × 3,141.40
  4. Step 4: Simplify right side
    7,036.96x = 33,148,681.08
  5. Step 5: Solve for x
    x = 33,148,681.08/7,036.96
  6. Step 6: Final answer
    x = 4,710.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.