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Finding the Fourth Proportional to 7,875.60, 11,813.52 and 3,980.16

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Solution

The fourth proportional to 7,875.60, 11,813.52 and 3,980.16 is: 5,970.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.60 : 11,813.52 = 3,980.16 : x
  2. Step 2: Convert to fraction form
    7,875.60/11,813.52 = 3,980.16/x
  3. Step 3: Cross multiply
    7,875.60x = 11,813.52 × 3,980.16
  4. Step 4: Simplify right side
    7,875.60x = 47,019,699.76
  5. Step 5: Solve for x
    x = 47,019,699.76/7,875.60
  6. Step 6: Final answer
    x = 5,970.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.