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Finding the Fourth Proportional to 7,158.16, 9,875.89 and 4,326.40

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Solution

The fourth proportional to 7,158.16, 9,875.89 and 4,326.40 is: 5,969.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158.16 : 9,875.89 = 4,326.40 : x
  2. Step 2: Convert to fraction form
    7,158.16/9,875.89 = 4,326.40/x
  3. Step 3: Cross multiply
    7,158.16x = 9,875.89 × 4,326.40
  4. Step 4: Simplify right side
    7,158.16x = 42,727,050.50
  5. Step 5: Solve for x
    x = 42,727,050.50/7,158.16
  6. Step 6: Final answer
    x = 5,969.00

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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.