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Finding the Fourth Proportional to 7,552.34, 10,421.07 and 4,365.02

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Solution

The fourth proportional to 7,552.34, 10,421.07 and 4,365.02 is: 6,023.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,552.34 : 10,421.07 = 4,365.02 : x
  2. Step 2: Convert to fraction form
    7,552.34/10,421.07 = 4,365.02/x
  3. Step 3: Cross multiply
    7,552.34x = 10,421.07 × 4,365.02
  4. Step 4: Simplify right side
    7,552.34x = 45,488,151.81
  5. Step 5: Solve for x
    x = 45,488,151.81/7,552.34
  6. Step 6: Final answer
    x = 6,023.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.