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Finding the Fourth Proportional to 7,116.66, 9,820.30 and 4,880.45

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Solution

The fourth proportional to 7,116.66, 9,820.30 and 4,880.45 is: 6,734.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.66 : 9,820.30 = 4,880.45 : x
  2. Step 2: Convert to fraction form
    7,116.66/9,820.30 = 4,880.45/x
  3. Step 3: Cross multiply
    7,116.66x = 9,820.30 × 4,880.45
  4. Step 4: Simplify right side
    7,116.66x = 47,927,483.14
  5. Step 5: Solve for x
    x = 47,927,483.14/7,116.66
  6. Step 6: Final answer
    x = 6,734.55

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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.