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Finding the Fourth Proportional to 7,374.65, 11,053.46 and 4,602.02

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Solution

The fourth proportional to 7,374.65, 11,053.46 and 4,602.02 is: 6,897.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,374.65 : 11,053.46 = 4,602.02 : x
  2. Step 2: Convert to fraction form
    7,374.65/11,053.46 = 4,602.02/x
  3. Step 3: Cross multiply
    7,374.65x = 11,053.46 × 4,602.02
  4. Step 4: Simplify right side
    7,374.65x = 50,868,200.23
  5. Step 5: Solve for x
    x = 50,868,200.23/7,374.65
  6. Step 6: Final answer
    x = 6,897.72

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Why These Related Problems?

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