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Finding the Fourth Proportional to 7,430.58, 10,259.25 and 5,671.22

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Solution

The fourth proportional to 7,430.58, 10,259.25 and 5,671.22 is: 7,830.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,430.58 : 10,259.25 = 5,671.22 : x
  2. Step 2: Convert to fraction form
    7,430.58/10,259.25 = 5,671.22/x
  3. Step 3: Cross multiply
    7,430.58x = 10,259.25 × 5,671.22
  4. Step 4: Simplify right side
    7,430.58x = 58,182,463.79
  5. Step 5: Solve for x
    x = 58,182,463.79/7,430.58
  6. Step 6: Final answer
    x = 7,830.14

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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.