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Finding the Fourth Proportional to 10,784.16, 14,878.08 and 6,308.64

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Solution

The fourth proportional to 10,784.16, 14,878.08 and 6,308.64 is: 8,703.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,784.16 : 14,878.08 = 6,308.64 : x
  2. Step 2: Convert to fraction form
    10,784.16/14,878.08 = 6,308.64/x
  3. Step 3: Cross multiply
    10,784.16x = 14,878.08 × 6,308.64
  4. Step 4: Simplify right side
    10,784.16x = 93,860,450.61
  5. Step 5: Solve for x
    x = 93,860,450.61/10,784.16
  6. Step 6: Final answer
    x = 8,703.55

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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.