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Finding the Fourth Proportional to 7,783.16, 11,655.30 and 4,852.58

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Solution

The fourth proportional to 7,783.16, 11,655.30 and 4,852.58 is: 7,266.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.16 : 11,655.30 = 4,852.58 : x
  2. Step 2: Convert to fraction form
    7,783.16/11,655.30 = 4,852.58/x
  3. Step 3: Cross multiply
    7,783.16x = 11,655.30 × 4,852.58
  4. Step 4: Simplify right side
    7,783.16x = 56,558,275.67
  5. Step 5: Solve for x
    x = 56,558,275.67/7,783.16
  6. Step 6: Final answer
    x = 7,266.75

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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.