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Finding the Fourth Proportional to 7,030.01, 10,523.05 and 4,691.93

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Solution

The fourth proportional to 7,030.01, 10,523.05 and 4,691.93 is: 7,023.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,030.01 : 10,523.05 = 4,691.93 : x
  2. Step 2: Convert to fraction form
    7,030.01/10,523.05 = 4,691.93/x
  3. Step 3: Cross multiply
    7,030.01x = 10,523.05 × 4,691.93
  4. Step 4: Simplify right side
    7,030.01x = 49,373,349.64
  5. Step 5: Solve for x
    x = 49,373,349.64/7,030.01
  6. Step 6: Final answer
    x = 7,023.23

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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.