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Finding the Fourth Proportional to 8,380.51, 11,562.28 and 4,746.06

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Solution

The fourth proportional to 8,380.51, 11,562.28 and 4,746.06 is: 6,547.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.51 : 11,562.28 = 4,746.06 : x
  2. Step 2: Convert to fraction form
    8,380.51/11,562.28 = 4,746.06/x
  3. Step 3: Cross multiply
    8,380.51x = 11,562.28 × 4,746.06
  4. Step 4: Simplify right side
    8,380.51x = 54,875,274.62
  5. Step 5: Solve for x
    x = 54,875,274.62/8,380.51
  6. Step 6: Final answer
    x = 6,547.96

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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.