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Finding the Fourth Proportional to 7,047.40, 10,565.62 and 2,888.46

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Solution

The fourth proportional to 7,047.40, 10,565.62 and 2,888.46 is: 4,330.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.40 : 10,565.62 = 2,888.46 : x
  2. Step 2: Convert to fraction form
    7,047.40/10,565.62 = 2,888.46/x
  3. Step 3: Cross multiply
    7,047.40x = 10,565.62 × 2,888.46
  4. Step 4: Simplify right side
    7,047.40x = 30,518,370.75
  5. Step 5: Solve for x
    x = 30,518,370.75/7,047.40
  6. Step 6: Final answer
    x = 4,330.44

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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.