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Finding the Fourth Proportional to 7,355.64, 10,149.66 and 4,210.68

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Solution

The fourth proportional to 7,355.64, 10,149.66 and 4,210.68 is: 5,810.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,355.64 : 10,149.66 = 4,210.68 : x
  2. Step 2: Convert to fraction form
    7,355.64/10,149.66 = 4,210.68/x
  3. Step 3: Cross multiply
    7,355.64x = 10,149.66 × 4,210.68
  4. Step 4: Simplify right side
    7,355.64x = 42,736,970.37
  5. Step 5: Solve for x
    x = 42,736,970.37/7,355.64
  6. Step 6: Final answer
    x = 5,810.10

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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.