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Finding the Fourth Proportional to 7,130.90, 10,695.44 and 2,970.14

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Solution

The fourth proportional to 7,130.90, 10,695.44 and 2,970.14 is: 4,454.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.90 : 10,695.44 = 2,970.14 : x
  2. Step 2: Convert to fraction form
    7,130.90/10,695.44 = 2,970.14/x
  3. Step 3: Cross multiply
    7,130.90x = 10,695.44 × 2,970.14
  4. Step 4: Simplify right side
    7,130.90x = 31,766,908.11
  5. Step 5: Solve for x
    x = 31,766,908.11/7,130.90
  6. Step 6: Final answer
    x = 4,454.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.