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Finding the Fourth Proportional to 10,783.02, 14,877.60 and 6,307.86

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Solution

The fourth proportional to 10,783.02, 14,877.60 and 6,307.86 is: 8,703.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.02 : 14,877.60 = 6,307.86 : x
  2. Step 2: Convert to fraction form
    10,783.02/14,877.60 = 6,307.86/x
  3. Step 3: Cross multiply
    10,783.02x = 14,877.60 × 6,307.86
  4. Step 4: Simplify right side
    10,783.02x = 93,845,817.94
  5. Step 5: Solve for x
    x = 93,845,817.94/10,783.02
  6. Step 6: Final answer
    x = 8,703.11

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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.