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Finding the Fourth Proportional to 7,904.94, 10,909.32 and 4,547.76

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Solution

The fourth proportional to 7,904.94, 10,909.32 and 4,547.76 is: 6,276.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,904.94 : 10,909.32 = 4,547.76 : x
  2. Step 2: Convert to fraction form
    7,904.94/10,909.32 = 4,547.76/x
  3. Step 3: Cross multiply
    7,904.94x = 10,909.32 × 4,547.76
  4. Step 4: Simplify right side
    7,904.94x = 49,612,969.12
  5. Step 5: Solve for x
    x = 49,612,969.12/7,904.94
  6. Step 6: Final answer
    x = 6,276.20

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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.