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Finding the Fourth Proportional to 7,569.02, 10,444.44 and 4,211.30

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Solution

The fourth proportional to 7,569.02, 10,444.44 and 4,211.30 is: 5,811.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569.02 : 10,444.44 = 4,211.30 : x
  2. Step 2: Convert to fraction form
    7,569.02/10,444.44 = 4,211.30/x
  3. Step 3: Cross multiply
    7,569.02x = 10,444.44 × 4,211.30
  4. Step 4: Simplify right side
    7,569.02x = 43,984,670.17
  5. Step 5: Solve for x
    x = 43,984,670.17/7,569.02
  6. Step 6: Final answer
    x = 5,811.14

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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.