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Finding the Fourth Proportional to 7,549.34, 10,427.56 and 5,802.18

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Solution

The fourth proportional to 7,549.34, 10,427.56 and 5,802.18 is: 8,014.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,549.34 : 10,427.56 = 5,802.18 : x
  2. Step 2: Convert to fraction form
    7,549.34/10,427.56 = 5,802.18/x
  3. Step 3: Cross multiply
    7,549.34x = 10,427.56 × 5,802.18
  4. Step 4: Simplify right side
    7,549.34x = 60,502,580.08
  5. Step 5: Solve for x
    x = 60,502,580.08/7,549.34
  6. Step 6: Final answer
    x = 8,014.29

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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.