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Finding the Fourth Proportional to 7,746.60, 11,607.10 and 6,594.60

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Solution

The fourth proportional to 7,746.60, 11,607.10 and 6,594.60 is: 9,881.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,746.60 : 11,607.10 = 6,594.60 : x
  2. Step 2: Convert to fraction form
    7,746.60/11,607.10 = 6,594.60/x
  3. Step 3: Cross multiply
    7,746.60x = 11,607.10 × 6,594.60
  4. Step 4: Simplify right side
    7,746.60x = 76,544,181.66
  5. Step 5: Solve for x
    x = 76,544,181.66/7,746.60
  6. Step 6: Final answer
    x = 9,881.00

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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.