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Finding the Fourth Proportional to 7,577.98, 10,466.40 and 5,056

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Solution

The fourth proportional to 7,577.98, 10,466.40 and 5,056 is: 6,983.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577.98 : 10,466.40 = 5,056 : x
  2. Step 2: Convert to fraction form
    7,577.98/10,466.40 = 5,056/x
  3. Step 3: Cross multiply
    7,577.98x = 10,466.40 × 5,056
  4. Step 4: Simplify right side
    7,577.98x = 52,918,118.40
  5. Step 5: Solve for x
    x = 52,918,118.40/7,577.98
  6. Step 6: Final answer
    x = 6,983.14

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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.