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Finding the Fourth Proportional to 7,569.10, 10,435.98 and 4,875.76

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Solution

The fourth proportional to 7,569.10, 10,435.98 and 4,875.76 is: 6,722.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569.10 : 10,435.98 = 4,875.76 : x
  2. Step 2: Convert to fraction form
    7,569.10/10,435.98 = 4,875.76/x
  3. Step 3: Cross multiply
    7,569.10x = 10,435.98 × 4,875.76
  4. Step 4: Simplify right side
    7,569.10x = 50,883,333.84
  5. Step 5: Solve for x
    x = 50,883,333.84/7,569.10
  6. Step 6: Final answer
    x = 6,722.51

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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.