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Finding the Fourth Proportional to 7,646.50, 10,547.68 and 4,809.37

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Solution

The fourth proportional to 7,646.50, 10,547.68 and 4,809.37 is: 6,634.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.50 : 10,547.68 = 4,809.37 : x
  2. Step 2: Convert to fraction form
    7,646.50/10,547.68 = 4,809.37/x
  3. Step 3: Cross multiply
    7,646.50x = 10,547.68 × 4,809.37
  4. Step 4: Simplify right side
    7,646.50x = 50,727,695.76
  5. Step 5: Solve for x
    x = 50,727,695.76/7,646.50
  6. Step 6: Final answer
    x = 6,634.11

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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.