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Finding the Fourth Proportional to 7,774.40, 11,657.32 and 5,312

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Solution

The fourth proportional to 7,774.40, 11,657.32 and 5,312 is: 7,965.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.40 : 11,657.32 = 5,312 : x
  2. Step 2: Convert to fraction form
    7,774.40/11,657.32 = 5,312/x
  3. Step 3: Cross multiply
    7,774.40x = 11,657.32 × 5,312
  4. Step 4: Simplify right side
    7,774.40x = 61,923,683.84
  5. Step 5: Solve for x
    x = 61,923,683.84/7,774.40
  6. Step 6: Final answer
    x = 7,965.08

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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.